The hyperbolic map and applications to the linear quadratic regulator

B.J. Daiuto, T.T. Hartley, S.P. Chicatelli

This research monograph gives a complete discussion of the theory of the discrete-time hyperbolic map. Both scalar and matrix representations are considered. The dynamics of the map are analyzed and discussions of stability, quasiperiodicity, and chaos are included. Several applications are discusssed, the most important being the discrete-time linear time-invariant quadratic regulator. The results obtained from this analysis are then extended to the continuous-time linear regulator. A discussion of the linear quadratic regulator with negative state weighting provides some important insights into the general regulator theory. The results contained in this monograph should be accessible to the first year graduate student or advanced senior undergraduate. Interested readers should also have a background in ODE's, difference equations, optimization theory, and/or digital control theory.

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  • Qualitative dynamics of the hyperbolic iteration map.- General solution derivation for the hyperbolic iteration map.- Appendix A extension to the multidimensional case.- Appendix B some interesting applications of the hyperbolic map.- The linear quadratic regulator - Background.- The linear quadratic regulator under negative Q.- Conclusion.

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書名 The hyperbolic map and applications to the linear quadratic regulator
著作者等 Chicatelli, S. P.
Daiuto, B. J.
Hartley, T. T.
Chicatelli Stephen P.
Daiuto Brian J.
Hartley Tom T.
Daiuto B J
シリーズ名 Lecture notes in control and information sciences
出版元 Springer-Verlag
刊行年月 c1989
ページ数 114 p.
大きさ 25 cm
ISBN 3540967419
NCID BA07701029
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言語 英語
出版国 アメリカ合衆国